Flow-based generative models are the state-of-the-art in
Euclidean settings and are starting to be extended
to Riemannian manifolds [1]}, [2]}, [3]}.
However, in contrast with some models in the Euclidean case
[4]}, [5]}, the representational
capacity and universality of these models is not well-understood.
Some of these approaches are efficiently tailored to specific
choices of manifolds, but the methods and theory of flows on
general Riemannian manifolds are not well-understood.
